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Finding the Fourth Proportional to 787.55, 1,086.80 and 438.23

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Solution

The fourth proportional to 787.55, 1,086.80 and 438.23 is: 604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.55 : 1,086.80 = 438.23 : x
  2. Step 2: Convert to fraction form
    787.55/1,086.80 = 438.23/x
  3. Step 3: Cross multiply
    787.55x = 1,086.80 × 438.23
  4. Step 4: Simplify right side
    787.55x = 476,260.74
  5. Step 5: Solve for x
    x = 476,260.74/787.55
  6. Step 6: Final answer
    x = 604.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.